Title | ||
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Time-Varying Feedback For Finite-Time Robust Regulation Of Normal-Form Nonlinear Systems |
Abstract | ||
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While non-smooth approaches (including sliding mode control) provide explicit feedback laws that ensure finite time stabilization but in terminal time that depends on the initial condition, fixed-time optimal control with a terminal constraint ensures regulation in prescribed time but lacks the explicit character in the presence of nonlinearities and uncertainties. In this paper we present an alternative to these approaches, which, while lacking optimality, provides explicit time-varying feedback laws that achieve regulation in prescribed finite time, even in the presence of non-vanishing (though matched) uncertain nonlinearities. Our approach employs a scaling of the state by a function of time that grows unbounded towards the terminal time and is followed by a design of a controller that stabilizes the system in the scaled state representation, yielding regulation in prescribed finite time for the original state. |
Year | Venue | Keywords |
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2016 | 2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC) | Nonlinear control, fixed-time stabilization, input-to-state stability, small-gain theorem |
Field | DocType | ISSN |
Control theory,Mathematical optimization,Nonlinear system,Optimal control,Control theory,Computer science,Robustness (computer science),Initial value problem,Scaling,Sliding mode control,Finite time | Conference | 0743-1546 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Yong-Duan Song | 1 | 1949 | 108.61 |
Yujuan Wang | 2 | 246 | 11.57 |
John Holloway | 3 | 0 | 0.34 |
Miroslav Krstic | 4 | 4987 | 553.84 |